Logical Frameworks
نویسنده
چکیده
منابع مشابه
Equivalences among Various Logical Frameworks of Partial Algebras
We examine a variety of liberal logical frameworks of partial algebras. Therefore we use simple, conjunctive and weak embeddings of institutions which preserve model categories and may map sentences to sentences, nite sets of sentences, or theory extensions using unique-existential quantiiers, respectively. They faithfully represent theories, model categories, theory morphisms, colimit of theor...
متن کاملA modular hierarchy of logical frameworks
We present a method for defining logical frameworks as a collection of features which are defined and behave independently of one another. Each feature is a set of grammar clauses and rules of deduction such that the result of adding the feature to a framework is a conservative extension of the framework itself. We show how several existing logical frameworks can be so built, and how several mu...
متن کاملModules as Classes in Logical Frameworks with Explicit Substitution
Using machine assisted proof systems to reason about mathematics and various aspects of programs and computer systems has gained a lot of attention by mathematicians and theoretical computer scientists during the last fteen years. The work going on under the name Logical Frameworks HuP91] is implementations of general frameworks in which the user can deene a logic or formal system and by doing ...
متن کاملLogical Frameworks--A Brief Introduction
A logical framework is a meta-language for the formalization of deductive systems. We provide a brief introduction to logical frameworks and their methodology, concentrating on LF. We use first-order logic as the running example to illustrate the representations of syntax, natural deductions, and proof transformations. We also sketch a recent formulation of LF centered on the notion of canonica...
متن کاملEmbedding Display Calculi into Logical Frameworks: Comparing Twelf and Isabelle
We compare several methods of implementing the display (sequent) calculus RA for relation algebra in the logical frameworks Isabelle and Twelf. We aim for an implementation enabling us to formalise within the logical framework proof-theoretic results such as the cut-elimination theorem for RA and any associated increase in proof length. We discuss issues arising from this requirement.
متن کاملA logical framework combining model and proof theory
Mathematical logic and computer science drive the design of a growing number of logics and related formalisms such as set theories and type theories. In response to this population explosion, logical frameworks have been developed as formal meta-languages in which to represent, structure, relate, and reason about logics. Research on logical frameworks has diverged into separate communities with...
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تاریخ انتشار 2001