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ailog[e85,jmc] AI and logic - for 1985 IJCAI
AI and mathematical logic have many connections. Here are some
of them.
Programs with common sense - 1958
Automatic theorem proving - Logic theorist, Wang, Davis-Putnam,
resolution.
Situation calculus - STRIPS
The tools we haven't yet much used
higher order logic
set theory - heavy duty set theory, comprehension schema
modalities - modality si, modal logic no
Reification
Logic programming
Half-assed logic
Non-monotonic logic and reasoning
Irrelevant remark: Can we make set theory consistent by allowing any
property to define a set unless it's abnormal? We are then asking
for maximal consistent subsets of the inconsistent set theory.
Applications:
the logic level, ascribing
algorithm = logic + control