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One family of graphs that bears unlimited degrees of computational fruit has been dubbed (by me) painted and rooted cacti (PARCs). Painted just means that you can associate any subset of a finite palette $\mathcal{P} = \lbrace p_1, \ldots, p_k \rbrace $ of colors $p_j$ with each node of the underlying rooted cactus.

PARCs can be interpreted as propositional calculus formulas in a couple of ways that are logically dual to each other, extending the graphical syntax for propositional logic that C.S. Peirce called his Alpha graphs, with their entitative and existential readings.

I'll dig up some links …

I'd completely forgotten — here's a sparse exposition of cactus calculussparse exposition of cactus calculus (in the so-called existential interpretation) that I'd already posted on another question.

One family of graphs that bears unlimited degrees of computational fruit has been dubbed (by me) painted and rooted cacti (PARCs). Painted just means that you can associate any subset of a finite palette $\mathcal{P} = \lbrace p_1, \ldots, p_k \rbrace $ of colors $p_j$ with each node of the underlying rooted cactus.

PARCs can be interpreted as propositional calculus formulas in a couple of ways that are logically dual to each other, extending the graphical syntax for propositional logic that C.S. Peirce called his Alpha graphs, with their entitative and existential readings.

I'll dig up some links …

I'd completely forgotten — here's a sparse exposition of cactus calculus (in the so-called existential interpretation) that I'd already posted on another question.

One family of graphs that bears unlimited degrees of computational fruit has been dubbed (by me) painted and rooted cacti (PARCs). Painted just means that you can associate any subset of a finite palette $\mathcal{P} = \lbrace p_1, \ldots, p_k \rbrace $ of colors $p_j$ with each node of the underlying rooted cactus.

PARCs can be interpreted as propositional calculus formulas in a couple of ways that are logically dual to each other, extending the graphical syntax for propositional logic that C.S. Peirce called his Alpha graphs, with their entitative and existential readings.

I'll dig up some links …

I'd completely forgotten — here's a sparse exposition of cactus calculus (in the so-called existential interpretation) that I'd already posted on another question.

add a cross-reference
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Jon Awbrey
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One family of graphs that bears unlimited degrees of computational fruit has been dubbed (by me) painted and rooted cacti (PARCs). Painted just means that you can associate any subset of a finite palette $\mathcal{P} = \lbrace p_1, \ldots, p_k \rbrace $ of colors $p_j$ with each node of the underlying rooted cactus.

PARCs can be interpreted as propositional calculus formulas in a couple of ways that are logically dual to each other, extending the graphical syntax for propositional logic that C.S. Peirce called his Alpha graphs, with their entitative and existential readings.

I'll dig up some links …

I'd completely forgotten — here's a sparse exposition of cactus calculus (in the so-called existential interpretation) that I'd already posted on another question.

One family of graphs that bears unlimited degrees of computational fruit has been dubbed (by me) painted and rooted cacti (PARCs). Painted just means that you can associate any subset of a finite palette $\mathcal{P} = \lbrace p_1, \ldots, p_k \rbrace $ of colors $p_j$ with each node of the underlying rooted cactus.

PARCs can be interpreted as propositional calculus formulas in a couple of ways that are logically dual to each other, extending the graphical syntax for propositional logic that C.S. Peirce called his Alpha graphs, with their entitative and existential readings.

I'll dig up some links …

One family of graphs that bears unlimited degrees of computational fruit has been dubbed (by me) painted and rooted cacti (PARCs). Painted just means that you can associate any subset of a finite palette $\mathcal{P} = \lbrace p_1, \ldots, p_k \rbrace $ of colors $p_j$ with each node of the underlying rooted cactus.

PARCs can be interpreted as propositional calculus formulas in a couple of ways that are logically dual to each other, extending the graphical syntax for propositional logic that C.S. Peirce called his Alpha graphs, with their entitative and existential readings.

I'll dig up some links …

I'd completely forgotten — here's a sparse exposition of cactus calculus (in the so-called existential interpretation) that I'd already posted on another question.

Source Link
Jon Awbrey
  • 403
  • 1
  • 9
  • 14

One family of graphs that bears unlimited degrees of computational fruit has been dubbed (by me) painted and rooted cacti (PARCs). Painted just means that you can associate any subset of a finite palette $\mathcal{P} = \lbrace p_1, \ldots, p_k \rbrace $ of colors $p_j$ with each node of the underlying rooted cactus.

PARCs can be interpreted as propositional calculus formulas in a couple of ways that are logically dual to each other, extending the graphical syntax for propositional logic that C.S. Peirce called his Alpha graphs, with their entitative and existential readings.

I'll dig up some links …