Sentence examples for predicate logic of from inspiring English sources

He also showed that the temporal predicate logic of the reals is non-axiomatisable.

This idea has its origins in the Dynamic Predicate Logic of Groenendijk and Stokhof (1991), in particular with their development of negative information via negation as test-failure.

Plisko [1992] proved that the predicate logic of HA + MP (the set of sentences in the language of IQC all of whose uniform substitution instances in the language of arithmetic are provable in HA + MP) is Π2 complete; Visser [2006] extended this result to some constructively interesting consistent extensions of HA which are not contained in PA.

1.4, for a proof that there does not exist a semantics assigning individuals or sets of individuals even to phrases of the two forms all A and some B in a systematic (compositional) way. 5. Some such properties were considered even in the early days of predicate logic, for example, the quantifier ∃! meaning 'there exists exactly one.' (see section 6 for the notation on the right-hand side).

The mined rules are translated into predicate logic for further verification of correctness.

The corresponding predicate logics are undecidable (as is the classical predicate logic) but of various degree of undecidability in the sense of so-called arithmetical hierarchy of Σn-sets and Πn-sets.

2. Although a serious comparison lies outside the scope of this entry, DEL has deep connections with dynamic semantics, and the point above is very close in spirit to the insight that "the utterance of a sentence brings us from a certain state of information to another one", from the Dynamic Predicate Logic (DPL) of Groenendijk and Stokhof (1991).

For example, the predicate logic translation of the axiom schema □A→A comes to ∀P ∀x[∀y(Rxy→Py) → Px].

Our theory builds on the established predicate logic formalism of the Fluent Calculus as a solution to the Frame Problem and to the Ramification Problem in reasoning about actions.

Furthermore the implicit translation of those logics into well-understood fragments of predicate logic provides a wealth of information of interest to computer scientists.

Especially the standard interpretation of predicate logic in terms of static individuals with properties that are exemplified timelessly or at a temporal instant consolidates what is from the process-philosophical perspective an unhelpful theoretical bias.