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Cardinalities of models and the expressive power of monadic predicate logics (with equality and individual constants)

Reports Math. Log., 1996
A monadic formula is a formula of first-order logic all of whose non-logical symbols are either one-placed predicate letters or name letters (individual constants). Monadic formulas may contain the logical symbol of equality. It is proved in the paper that for any monadic formula \(\varphi\), \(\varphi\) is logically valid iff \(\varphi\) is true in ...
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Functional declarative language design and predicate calculus

ACM Transactions on Programming Languages and Systems, 2005
Raymond Boute
exaly  

Extension of the inverse method to the predicate calculus with equality

Journal of Soviet Mathematics, 1973
S Yu Maslov, Maslov S Yu
exaly  

An Algebraic Presentation of Predicate Logic

Lecture Notes in Computer Science, 2013
Sam Staton
exaly  

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