
AbstractWe show that a coherent theory of partially ordered connectives can be developed along the same line as partially ordered quantification. We estimate the expressive power of various partially ordered connectives and use methods like Ehrenfeucht games and infinitary logic to get various undefinability results.
infinitary logic, undefinability, Ehrenfeucht games, coherent theory of partially ordered connectives, Logic with extra quantifiers and operators, partially ordered quantification, expressive power
infinitary logic, undefinability, Ehrenfeucht games, coherent theory of partially ordered connectives, Logic with extra quantifiers and operators, partially ordered quantification, expressive power
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