Publication

A First-Order Syntax for the Pi-Calculus in Isabelle/HOL using Permutations

2001
Conference Papers

Abstract

A formalized theory of alpha-conversion for the pi-calculus in Isabelle/HOL is presented. Following a recent proposal by Gabbay and Pitts, substitutions are modelled in terms of permutations, and alpha-equivalence is defined over all but finitely many names. In contrast to the work by Gabbay and Pitts, however, standard universal and existential quantification are used instead of introducing a new binder. Further, a classification of the various approaches to formalizing languages with binders is presented. Strengths and weaknesses are pointed out, and suggestions for possible applications are made.

Official source

https://infoscience.epfl.ch/entities/publication/4916d133-c2ac-460d-9f4f-b96c42a86555

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2001
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/4916d133-c2ac-460d-9f4f-b96c42a86555

About this result

Related concepts (32)

Existential quantification

In predicate logic, an existential quantification is a type of quantifier, a logical constant which is interpreted as "there exists", "there is at least one", or "for some". It is usually denoted by the logical operator symbol ∃, which, when used together with a predicate variable, is called an existential quantifier ("∃x" or "∃(x)" or "(∃x)"). Existential quantification is distinct from universal quantification ("for all"), which asserts that the property or relation holds for all members of the domain.

Universal quantification

In mathematical logic, a universal quantification is a type of quantifier, a logical constant which is interpreted as "given any", "for all", or "for any". It expresses that a predicate can be satisfied by every member of a domain of discourse. In other words, it is the predication of a property or relation to every member of the domain. It asserts that a predicate within the scope of a universal quantifier is true of every value of a predicate variable.

Uniqueness quantification

In mathematics and logic, the term "uniqueness" refers to the property of being the one and only object satisfying a certain condition. This sort of quantification is known as uniqueness quantification or unique existential quantification, and is often denoted with the symbols "∃!" or "∃=1". For example, the formal statement may be read as "there is exactly one natural number such that ". The most common technique to prove the unique existence of a certain object is to first prove the existence of the entity with the desired condition, and then to prove that any two such entities (say, and ) must be equal to each other (i.

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A First-Order Syntax for the Pi-Calculus in Isabelle/HOL using Permutations

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