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HYPERSEQUENT

Hypersequent

In mathematical logic, the hypersequent framework is an extension of the proof-theoretical framework of sequent calculi used in structural proof theory

Hypersequent

Structural proof theory

Subdiscipline of proof theory

_{i}} is an ordinary sequent, called a component of the hypersequent. As for sequents, hypersequents can be based on sets, multisets, or sequences, and the

Structural proof theory

Structural_proof_theory

Łukasiewicz logic

System of logic in mathematics and philosophy

(IMTL). Finite-valued Łukasiewicz logics require additional axioms. A hypersequent calculus for three-valued Łukasiewicz logic was introduced by Arnon Avron

Łukasiewicz logic

Łukasiewicz_logic

Arnon Avron

Israeli mathematician

contributed to the theory of automated reasoning with his introduction of hypersequents, a generalization of the sequent calculus. Avron also introduced the

Arnon Avron

Arnon_Avron

Proof calculus

Formal language used to prove statements

have proposed calculi with deep inference, for instance display logic, hypersequents, the calculus of structures, and bunched implication. Method of analytic

Proof calculus

Proof_calculus

Natural deduction

Kind of proof calculus

the application of many proof theories, such as Avron and Pottinger's hypersequents and Belnap's display logic to such modal logics as S5 and B. The sequent

Natural deduction

Natural_deduction

Kleene Award

Games and k-Consistency Tests" 2013 Ori Lahav "From Frame Properties to Hypersequent Rules in Modal Logics" 2014 Yaron Velner "Finite-memory strategy synthesis

Kleene Award

Kleene_Award