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Permutability of rules in lattice theory. - MaRDI portal

Permutability of rules in lattice theory. (Q1771961)

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scientific article; zbMATH DE number 2158821
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Permutability of rules in lattice theory.
scientific article; zbMATH DE number 2158821

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    Permutability of rules in lattice theory. (English)
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    19 April 2005
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    The main result is the so-called Subterm Property: If an atomic formula is derivable from given atomic formulas in lattice theory then it has a derivation all terms of which are terms in the given formulas or the conclusion. This has the following consequences: Lattice theory is conservative over partial order for universal formulas. The derivability of universal formulas in lattice theory is decidable.
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    lattice theory
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    proof analysis
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    decidability
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    derivability of universal formulas
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