Invertibility in Sequent Calculi
نویسنده
چکیده
The invertibility of the rules of a sequent calculus is important for guiding proof search and can be used in some formalised proofs of Cut admissibility. We present sufficient conditions for when a rule is invertible with respect to a calculus. We illustrate the conditions with examples. It must be noted we give purely syntactic criteria; no guarantees are given as to the suitability of the rules.
منابع مشابه
Syntactic Conditions for Invertibility in Sequent Calculi
Formalised proofs of Cut admissibility often rely on the invertibility of the rules of a sequent calculus. We will present some sufficient conditions for when a rule is invertible with respect to a calculus, which we illustrate with many examples. Appropriate definitions are given for rarely defined intuitive notions, such as a formula being principal for a rule. It must be noted we give purely...
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ورودعنوان ژورنال:
- Archive of Formal Proofs
دوره 2009 شماره
صفحات -
تاریخ انتشار 2009