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A computation tree is a representation for the computation steps of a non-deterministic Turing machine on a specified input. A computation tree is a rooted
Computation_tree
Theory in computer science
Computation tree logic (CTL) is a branching-time logic, meaning that its model of time is a tree-like structure in which the future is not determined;
Computation_tree_logic
Fair computational tree logic is conventional computational tree logic studied with explicit fairness constraints. This declares conditions such as all
Fair_computational_tree_logic
Theoretical model of computation
accept the input. While a DTM has a single "computation path" that it follows, an NTM has a "computation tree". A nondeterministic Turing machine can be
Nondeterministic Turing machine
Nondeterministic_Turing_machine
a computation tree, minimized over all computation trees that implement the functional. The Kleene–Brouwer order of a well-founded computation tree is
Kleene–Brouwer_order
Model of computational complexity
In computational complexity theory, the decision tree model is the model of computation in which an algorithm can be considered to be a decision tree, i
Decision_tree_model
Mathematical model describing how an output of a function is computed given an input
more specifically in computability theory and computational complexity theory, a model of computation is a model that describes how an output of a mathematical
Model_of_computation
Ability to execute a task in a non-serial manner
concurrent systems. Some of these logics, such as linear temporal logic and computation tree logic, allow assertions to be made about the sequences of states that
Concurrency (computer science)
Concurrency_(computer_science)
Probabilistic Computation Tree Logic (PCTL) is an extension of computation tree logic (CTL) that allows for probabilistic quantification of described
Probabilistic_CTL
Linked node hierarchical data structure
types of computational trees) This is different from the formal definition of subtree used in graph theory, which is a subgraph that forms a tree – it need
Tree_(abstract_data_type)
System for representing and reasoning about time
were linear temporal logic, a linear-time logic by Amir Pnueli, and computation tree logic (CTL), a branching-time logic by Mordechai Ben-Ari, Zohar Manna
Temporal_logic
Type of temporal logic
branching-time temporal logic that extends computation tree logic (CTL) to multiple players. ATL naturally describes computations of multi-agent systems and concurrent
Alternating-time temporal logic
Alternating-time_temporal_logic
Notion in combinatorial game theory
(number of leaf nodes in the smallest full-width decision tree for initial position) Computational complexity (asymptotic difficulty of a game as it grows
Game_complexity
{\displaystyle n} , in a comparison-based model of computation such as a decision tree or algebraic decision tree, is Θ ( n log n ) {\displaystyle \Theta (n\log
Element_distinctness_problem
(so-called Markov reward models). CTL: Computation Tree Logic; a branching-time logic, meaning that its model of time is a tree-like structure in which the future
List_of_model_checking_tools
American computer scientist (1954–2024)
contributions to temporal logic and modal logic include the introduction of computation tree logic (CTL) and its extension CTL*, which are used in the verification
E._Allen_Emerson
Tree which includes all vertices of a graph
finding spanning trees in these models of computation. In certain fields of graph theory it is often useful to find a minimum spanning tree of a weighted
Spanning_tree
Partition of a simple polygon into triangles
with holes has an Ω(n log n) lower bound, in algebraic computation tree models of computation. It is possible to compute the number of distinct triangulations
Polygon_triangulation
Shortest network connecting points
spanning tree problem can be established in restricted models of computation. These include the algebraic decision tree and algebraic computation tree models
Euclidean minimum spanning tree
Euclidean_minimum_spanning_tree
Tree in formal language theory
parse tree itself is used primarily in computational linguistics; in theoretical syntax, the term syntax tree is more common. Concrete syntax trees reflect
Parse_tree
Set of problems in computational complexity theory
In computational complexity theory, a complexity class is a set of computational problems "of related resource-based complexity". The two most commonly
Complexity_class
Branch of biology
Computational biology refers to the use of techniques in computer science, data analysis, mathematical modeling and computational simulations to understand
Computational_biology
Modal temporal logic with modalities referring to time
result known as Kamp's theorem— or equivalently to star-free languages. Computation tree logic (CTL) and linear temporal logic (LTL) are both a subset of CTL*
Linear_temporal_logic
Branching-time logic that is a superset of LTL and CTL
CTL* is a superset of computational tree logic (CTL) and linear temporal logic (LTL). It freely combines path quantifiers and temporal operators. Like
CTL*
Complexity class used to classify decision problems
language L. At each of its polynomially many steps, the machine's computation tree branches in at most a finite number of directions. There must be at
NP_(complexity)
Transition system
Temporal logic Model checking Kripke semantics Linear temporal logic Computation tree logic Kripke, Saul, 1963, "Semantical Considerations on Modal Logic
Kripke structure (model checking)
Kripke_structure_(model_checking)
This involves assuming an ordered tree, and reading the accepted/rejected strings from the leaves of the computation tree. NTMs will accept if the leaf string
Leaf_language
Computer science data structure
of the segment tree are in the areas of computational geometry, geographic information systems and machine learning. The segment tree can be generalized
Segment_tree
Inherent difficulty of computational problems
theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource usage
Computational complexity theory
Computational_complexity_theory
Measure of similarity between two graphs
improvements, TED remains computationally expensive for large trees, and its parallelization is highly non-trivial. Specifically, TED computation involves both intra-table
Graph_edit_distance
Application of computational algorithms, methods and programs to phylogenetic analyses
Computational phylogenetics, phylogeny inference, or phylogenetic inference focuses on computational and optimization algorithms, heuristics, and approaches
Computational_phylogenetics
Logical problem studied in computer science
reachability, collision detection for convex hulls, minimum cuts, and computation tree logic. Every Datalog program can be interpreted as a monotonic theory
Satisfiability modulo theories
Satisfiability_modulo_theories
String that certifies the answer to a computation
decision tree model of computation, certificate complexity is the minimum number of the n {\displaystyle n} input variables of a decision tree that need
Certificate_(complexity)
Topics referred to by the same term
Corporation, manufacturer of Chromebooks Certificate Transparency Logs Computation tree logic, a temporal logic Control key, a computer keyboard key CTL timecode
CTL
\supseteq } real Abstract interpretation Automated theorem proving Computation tree logic Formal verification List of model checking tools Program analysis
Abstract_model_checking
Computer hardware technology that uses quantum mechanics
physical simulations. However, current hardware implementations of quantum computation are largely experimental and only suitable for specialized tasks. The
Quantum_computing
Type of formal logic
dynamic logic (PDL), (propositional) linear temporal logic (LTL), computation tree logic (CTL), Hennessy–Milner logic, and T.[clarification needed] The
Modal_logic
Methodic assignment of colors to elements of a graph
based on evaluating this recurrence and the resulting computation tree is sometimes called a Zykov tree. The running time is based on a heuristic for choosing
Graph_coloring
Overview of and topical guide to algorithms
sequence of instructions or rules for solving a problem or performing a computation. Algorithms are central to computer science, mathematics, operations
Outline_of_algorithms
Interactive evolutionary computation (IEC) or aesthetic selection is a general term for methods of evolutionary computation that use human evaluation.
Interactive evolutionary computation
Interactive_evolutionary_computation
Model used in financial mathematics
The trinomial tree is a lattice-based computational model used in financial mathematics to price options on equity. It was developed by Phelim Boyle in
Trinomial_tree
Java toolkit
freeware evolutionary computation research system written in Java. It is a framework that supports a variety of evolutionary computation techniques, such as
Java Evolutionary Computation Toolkit
Java_Evolutionary_Computation_Toolkit
for pre-LLM models it was often complemented with techniques using computation tree logic. Another common method is theorem proving. Formal verification
Agent_verification
CTI—Computer telephony integration CTFE—Compile-time function execution CTL—Computation tree logic CTM—Close To Metal CTR—Counter mode CTS—Clear to send CTSS—Compatible
List of computing and IT abbreviations
List_of_computing_and_IT_abbreviations
Tree connecting given points by short paths
metric geometry and computational geometry, a minimum-diameter spanning tree of a finite set of points in a metric space is a spanning tree in which the diameter
Minimum-diameter spanning tree
Minimum-diameter_spanning_tree
Trial and error problem solvers with a metaheuristic or stochastic optimization character
Evolutionary computation (EC) from computer science is a family of algorithms for global optimization inspired by biological evolution, and a subfield
Evolutionary_computation
Extension of propositional modal logic
including CTL* and its widely used fragments—linear temporal logic and computational tree logic. An algebraic view is to see it as an algebra of monotonic functions
Modal_μ-calculus
On short connecting nets with added points
Package for computing Steiner trees in the plane: an updated computational study". Mathematical Programming Computation. 10 (4): 487–532. doi:10.1007/s12532-018-0135-8
Steiner_tree_problem
Subfield of computer science and mathematics
foundations of computation. It is difficult to circumscribe the theoretical areas precisely. The ACM's Special Interest Group on Algorithms and Computation Theory
Theoretical_computer_science
Mapping of a graph into a tree
solving certain computational problems on the graph. Tree decompositions are also called junction trees, clique trees, or join trees. They play an important
Tree_decomposition
Computer science field
Automated theorem proving Binary decision diagram Büchi automaton Computation tree logic Counterexample-guided abstraction refinement Formal verification
Model_checking
Computer science textbook
The fifth and sixth chapters explore linear temporal logic (LTL) and computation tree logic (CTL), two classes of formula that express properties. LTL encodes
Principles_of_Model_Checking
Branching diagram of evolutionary relationships between organisms
species or taxa. Computational phylogenetics (also phylogeny inference) focuses on the algorithms involved in finding optimal phylogenetic tree in the phylogenetic
Phylogenetic_tree
the 'eventually' (or 'finally') operator found in linear temporal/computation tree logic (branching time logic)(modal logic). So-called branching bisimulation
Stuttering_equivalence
Multidimensional search tree for points in k dimensional space
approximate nearest neighbor algorithms CGAL the Computational Algorithms Library, has an implementations of k-d tree based nearest neighbor, approximate nearest
K-d_tree
language theory, a tree transducer (TT) is an abstract machine taking as input a tree, and generating output – generally other trees, but models producing
Tree_transducer
Directed graph with no directed cycles
and computational applications, ranging from biology (evolution, family trees, epidemiology) to information science (citation networks) to computation (scheduling)
Directed_acyclic_graph
Method in computational phylogenetics
any set of data that are naturally arranged into a tree, but have most applications in computational phylogenetics, especially in maximum parsimony and
Tree_rearrangement
Complexity class
complement of a regular expression The satisfiability problem for CTL+ (computation tree logic) is 2-EXPTIME-complete. The satisfiability problem of ATL* (alternating-time
2-EXPTIME
Combinatorial game theory concept to represent all possible game states
partial game trees, which makes computation feasible on modern computers. Various methods exist to solve game trees. If a complete game tree can be generated
Game_tree
of the algorithm in and applied the resulting algorithm to the computation of SPQR-trees. The implementation is publicly available. Chun Ouyang et al.
Program_structure_tree
Mathematical method in graph theory
as the Euler tour representation (ETR) of the tree. The ETT allows for efficient, parallel computation of solutions to common problems in algorithmic
Euler_tour_technique
In computational phylogenetics, tree alignment is a computational problem concerned with producing multiple sequence alignments, or alignments of three
Tree_alignment
State machine for tree structures
A tree automaton is a type of state machine. Tree automata deal with tree structures, rather than the strings of more conventional state machines. The
Tree_automaton
Tree-based computer data structure
In computer science, a B-tree is a self-balancing tree data structure that maintains sorted data and allows searches, sequential access, insertions, and
B-tree
Reimplementation and extension of SMV model checker
ITC-IRST. NuSMV supports the analysis of specifications expressed in computation tree logic (CTL) and linear temporal logic (LTL). It can be run in batch
NuSMV
Numerical method for the valuation of financial options
or recombine. This property reduces the number of tree nodes, and thus accelerates the computation of the option price. This property also allows the
Binomial options pricing model
Binomial_options_pricing_model
Data structure
radix tree (also radix trie or compact prefix tree or compressed trie) is a data structure that represents a space-optimized trie (prefix tree) in which
Radix_tree
Formal specification language
Communicating sequential processes Alloy (specification language) B-Method Computation tree logic PlusCal Temporal logic Temporal logic of actions Z notation Lamport
TLA+
which is a tree. A distributed computation which is tree-structured is not uncommon. Such a process graph may arise when the computation is strictly
Dijkstra–Scholten_algorithm
Proving or disproving the correctness of certain intended algorithms
Specification Language (PSL), SystemVerilog Assertions (SVA), or computational tree logic (CTL). The great advantage of model checking is that it is often
Formal_verification
Study of abstract machines and automata
theory is the study of abstract machines and automata, as well as the computational problems that can be solved using them. It is a theory in theoretical
Automata_theory
Class of algorithms
In computer science, tree traversal (also known as tree search and walking the tree) is a form of graph traversal and refers to the process of visiting
Tree_traversal
Heuristic search algorithm for evaluating game trees
(2008). "Progressive Strategies for Monte-Carlo Tree Search" (PDF). New Mathematics and Natural Computation. 4 (3): 343–359. doi:10.1142/s1793005708001094
Monte_Carlo_tree_search
Technique in statistical genetics
1 {\displaystyle D_{1}} tree would be: The second assumption concerns the models of DNA sequence evolution. The computation of the likelihood needs the
Felsenstein's tree-pruning algorithm
Felsenstein's_tree-pruning_algorithm
Type of graph in mathematics
c incomparable to each other (also called a diamond-free poset). In computational complexity theory, multitrees have also been called strongly unambiguous
Multitree
Evolving computer programs with techniques analogous to natural genetic processes
human-competitive results). Since 2004, the annual Genetic and Evolutionary Computation Conference (GECCO) holds a Human Competitive Awards (called Humies) competition
Genetic_programming
Decision support tool
specifying actions based on conditions Decision tree model – Model of computational complexity of computation Design rationale – Explicit listing of design
Decision_tree
Machine learning algorithm
from data. In data mining, decision trees can be described also as the combination of mathematical and computational techniques to aid the description,
Decision_tree_learning
Weighted tree representing s-t cuts of a graph
for all s-t pairs in the graph. The Gomory–Hu tree can be constructed in |V| − 1 maximum flow computations. It is named for Ralph E. Gomory and T. C. Hu
Gomory–Hu_tree
Concept in model checking (computer science)
they are irrelevant to safety properties. Temporal logics such as computation tree logic (CTL) can be used to specify some LT properties. All linear temporal
Linear_time_property
Ability of a computing system to simulate Turing machines
model of computation, a computer's instruction set, a programming language, or a cellular automaton) is said to be Turing-complete or computationally universal
Turing_completeness
Fast Fourier Transform algorithm
the explicit recursion is avoided, and instead one traverses the computational tree in breadth-first fashion. The above re-expression of a size-N DFT
Cooley–Tukey_FFT_algorithm
Network protocol that builds a loop-free logical topology for Ethernet networks
(CBPDU), used for spanning tree computation and sent by root bridges to provide information to all switches. The first Spanning Tree Protocol was invented
Spanning_Tree_Protocol
Simple Turing complete logic
K-rule. As no further rule can be applied, the computation halts here. For all trees x and all trees y, SKxy will always evaluate to y in two steps,
SKI_combinator_calculus
Self-balancing binary search tree data structure
Left-leaning red–black tree AVL tree B-tree (2–3 tree, 2–3–4 tree, B+ tree, B*-tree, UB-tree) Scapegoat tree Splay tree T-tree WAVL tree GNU libavl Cormen
Red–black_tree
Convex hull of a finite set of points in a Euclidean space
algebraic decision tree model of computation. The task of computing the volume of a convex polytope has been studied in the field of computational geometry. The
Convex_polytope
Machine learning technique
decision tree that approximates the same decision function. Furthermore, its implementation may be more difficult due to the higher computational demand
Gradient_boosting
Static code analysis tool
domain specific language for abstract syntax tree linting, based on ideas from model checking for computation tree logic. Infer is mostly written in the OCaml
Infer_Static_Analyzer
Sequence of operations for a task
typically used to solve a class of specific problems or to perform a computation. Algorithms are used as specifications for performing calculations and
Algorithm
Multidisciplinary endeavour
Computational creativity (also known as artificial creativity, mechanical creativity, creative computing or creative computation) is a multidisciplinary
Computational_creativity
Undirected, connected, and acyclic graph
oriented tree", Journal of Combinatorics, Information & System Sciences, 5 (3): 184–187, MR 0603363. Kim, Jin H.; Pearl, Judea (1983), "A computational model
Tree_(graph_theory)
operation (plus) that be used in a parse tree to do a calculation. 8.2 The PORS Language, Page 215, Evolutionary Computation for Modeling And Optimization - Daniel
PORS
Mathematical structure
infinite-tree automaton is a state machine that deals with infinite tree structures. It can be seen as an extension of top-down finite-tree automata to
Infinite-tree_automaton
Interdisciplinary research discipline
Computational or algorithmic economics is an interdisciplinary field combining computer science and economics to efficiently solve computationally-expensive
Computational_economics
Least-weight tree connecting graph vertices
Clustering algorithms based on minimum and maximum spanning trees. Fourth Annual Symposium on Computational Geometry (SCG '88). Vol. 1. pp. 252–257. doi:10.1145/73393
Minimum_spanning_tree
Mathematical model of plan execution
S. (2010). "Evolving Behaviour Trees for the Commercial Game DEFCON" (PDF). Applications of Evolutionary Computation. Lecture Notes in Computer Science
Behavior tree (artificial intelligence, robotics and control)
Behavior_tree_(artificial_intelligence,_robotics_and_control)
Tree node with two other nodes as descendants
w to the root. In general, the computational time required for this algorithm is O(h) where h is the height of the tree (length of longest path from a
Lowest_common_ancestor
Graphics structure
Dynamic BVH in C# Intel Embree open source BVH library How to build a BVH - Part 1 AABB Trees in CGAL, the Computational Geometry Algorithms Library
Bounding_volume_hierarchy
Self-balancing binary search tree
a WAVL tree or weak AVL tree is a self-balancing binary search tree. WAVL trees are named after AVL trees, another type of balanced search tree, and are
WAVL_tree
COMPUTATION TREE
COMPUTATION TREE
Boy/Male
Arabic, Muslim
Striving; Contest; Competition; Battle
Boy/Male
Indian, Sanskrit
Competition
Girl/Female
Tamil
A compilation or a bunch of vedic hymns
Surname or Lastname
English
English : variant of Treece.
Girl/Female
Assamese, Hindu, Indian, Kannada, Sanskrit, Sindhi, Telugu
Motivation; Competition; React
Surname or Lastname
English (mainly southeastern)
English (mainly southeastern) : topographic name for someone who lived near a conspicuous tree, Middle English tre(w).
Boy/Male
Indian, Punjabi, Sikh
Victorious in Competition
Surname or Lastname
Cornish
Cornish : habitational name from places so named in the parishes of Zennor and St. Levan, both of which appear earlier in the form Trethyn, from Cornish tre ‘homestead’, ‘settlement’ + dyn ‘fort’.English : variant of Treece, from a form with the weak plural ending.
Girl/Female
Biblical
In compunction, or sharp pain.
Surname or Lastname
English
English : variant of Treece.
Boy/Male
Indian, Malayalam
Commutation
Surname or Lastname
English
English : from Old Norse drengr ‘young man’, but with more than one possible interpretation. It may reflect the personal name (originally a byname) of this form, which had some currency in the most Scandinavian-influenced areas of medieval England. Alternatively it may reflect the Middle English borrowing of the vocabulary word in the sense ‘servant’, later a technical term of the feudal system of Northumbria for a free tenant who held land by military and agricultural service, sometimes paying rent as well or in commutation.
Girl/Female
Hindu, Indian
A Compilation or a Bunch of Vedic Hymns
Surname or Lastname
German
German : from Middle High German lins(e) ‘lentil’, presumably a metonymic occupational nickname for a grower of lentils.German : from a short form of a Germanic personal name formed with Old High German lint ‘snake’ or linta ‘linden tree’, ‘shield’.English (Staffordshire) : unexplained. Possibly a variant of Lynes.Latvian : possibly from lins ‘flax’.
Boy/Male
British, English
Extra Ordinary; Not in Competition
Surname or Lastname
English
English : habitational name possibly from any of three places in Devon called Lincombe, named in Old English with līn ‘flax’ or lind ‘lime tree’ + cumb ‘valley’.
Surname or Lastname
English
English : topographic name for someone who lived by a maple tree, Middle English mapel (Old English mapul).French : from Latin mapula, a diminutive of mappa ‘piece of cloth’, ‘napkin’, presumably a metonymic occupational name for a cloth merchant or a weaver.
Boy/Male
Australian, British, English, Latin
Running Competition
Surname or Lastname
Americanized spelling of Swedish Ap(p)elberg, an ornamental name composed of the elements apel ‘apple tree’ + berg ‘mountain’.English
Americanized spelling of Swedish Ap(p)elberg, an ornamental name composed of the elements apel ‘apple tree’ + berg ‘mountain’.English : the surname Applebury is recorded in England in the 19th century, perhaps a habitational name from a lost place.
Surname or Lastname
English
English : topographic name from the plural of Middle English tre(w) ‘tree’.
COMPUTATION TREE
COMPUTATION TREE
Boy/Male
Hebrew
United.
Boy/Male
Teutonic
Victorious defender.
Girl/Female
American, Anglo, British, English, French, German
Noble Strength; Nobility
Boy/Male
Australian, French, German
Child of Easter
Boy/Male
Tamil
Ninth child
Girl/Female
Hindu, Indian, Malayalam
Nice
Girl/Female
American, Anglo, Australian, British, English, Swedish
A Metal Element; White; The Color Silver; Silver
Girl/Female
American, Australian, British, Christian, Danish, Dutch, English, French, German, Greek, Indian, Netherlands, Portuguese, Scottish, Swedish
Filled Heart; Maiden
Boy/Male
Hindu, Indian
Armour
Girl/Female
Indian
Full of qualities, Expansionist, Vast, Spacious, Man of qualities
COMPUTATION TREE
COMPUTATION TREE
COMPUTATION TREE
COMPUTATION TREE
COMPUTATION TREE
adv.
By imputation.
n.
Erroneous computation; false reckoning.
n.
A substitution, as of a less thing for a greater, esp. a substitution of one form of payment for another, or one payment for many, or a specific sum of money for conditional payments or allowances; as, commutation of tithes; commutation of fares; commutation of copyright; commutation of rations.
n.
Reckoning; computation.
n.
An erroneous computation.
n.
Account; reckoning; computation.
n.
The act or process of computing; calculation; reckoning.
a.
Without compunction.
n.
The result of computation; the amount computed.
n.
Confutation.
n.
Computation.
n.
Enumeration; computation.
n.
Emulation; rivalry; competition.
n.
Rivalry; competition.
v. t.
To exceed in reckoning or computation.
n.
Coaptation.
n.
The change of a penalty or punishment by the pardoning power of the State; as, the commutation of a sentence of death to banishment or imprisonment.
n.
Compilation.
adv.
With compunction.