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Universal algebra over lambda-terms and nominal terms

2009
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Proceedings of the Fourth International Workshop on Logical Frameworks and Meta-Languages Theory and Practice - LFMTP '09
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This paper develops the correspondence between equality reasoning with axioms using λ-terms syntax, and reasoning using nominal terms syntax. Both syntaxes involve name-abstraction: λ-terms represent functional abstraction; nominal terms represent atomsabstraction in nominal sets. It is not evident how to relate the two syntaxes because their intended denotations are so different. We use universal algebra, the logic of equational reasoning, a logical foundation based on an equality judgement

doi:10.1145/1577824.1577835
dblp:conf/lfmtp/GabbayM09
fatcat:qmhgxjk2nvh3bgqoaw7gqvy444